Existence for stationary mean-field games with congestion and quadratic Hamiltonians
Existence for stationary mean-field games with congestion and quadratic Hamiltonians
复制标题
具有拥塞和二次哈密顿量的平稳平均场博弈的存在性
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Hiroyoshi Mitake
中科院分区：
文献类型：
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作者：
D. Gomes;Hiroyoshi Mitake
在这里，我们研究了由J. - M. Lasry和P. - L.狮子该模型具有二次哈密顿量和拥塞效应。潜在奇异行为的基本困难是由拥塞引起的。由于一类新的先验界，结合延拓方法，我们证明了光滑解的存在性在任意维。
Here, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions.